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Stanislav Shaposhnikov

@shaposhnikov

Probability theory and PDE; Professor, Moscow State University and HSE University, Dr. Sci.

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About

Stanislav Valerievich Shaposhnikov is a Professor of the Department of Mathematical Analysis at the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University (since 2014) and a Professor at the Faculty of Mathematics of HSE University (since 2013). Doctor of Sciences in physics and mathematics.

He graduated from the Faculty of Mechanics and Mathematics of Moscow State University in 2006. His Candidate of Sciences (PhD) thesis was "Elliptic equations for measures" (2009); his Doctor of Sciences thesis, "Qualitative properties of stationary distributions and transition probabilities of diffusion processes" (2011), was defended at the age of 27.

He works on Fokker–Planck–Kolmogorov equations. He developed a renormalization method for solutions and, with coauthors, solved A. N. Kolmogorov's problem on the uniqueness of probability solutions to Fokker–Planck–Kolmogorov equations; he also proposed a new approach to the regularity of solutions to elliptic equations in double divergence form.

He received the A. N. Kolmogorov Prize of the Russian Academy of Sciences (2018) for the series "Stationary Kolmogorov equations", the Moscow Government Prize for Young Scientists (2017) and the I. I. Shuvalov Prize (2012) for his doctoral dissertation.

He teaches analysis and probability at Moscow State University and HSE University; at the Independent University of Moscow he teaches "Mathematical Analysis 1" and "Probability Theory" in autumn 2026.

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Mathematical Analysis 1. Lecture 1

Sep 22, 2026LectureСтанислав Шапошников

Naive set theory and Russell's paradox, Kuratowski's ordered pair and the Cartesian product, a function as a subset of a product, composition, injections, surjections and bijections, the group of bijections and the embedding of any group into it, equinumerosity and indicator functions, the Cantor–Bernstein and Cantor theorems.
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Probability Theory. Lecture 1

Sep 22, 2026LectureСтанислав Шапошников

The finite probability space and five properties of probability, a description of all probability measures on a finite set, equally likely outcomes and the choice of a model, classical paradoxes (two dice, the division of the stakes, Bertrand's paradox), conditional probability and the product rule, the law of total probability as a way to define a measure, Bayes' formula, independence of events.
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Stanislav Shaposhnikov (@shaposhnikov) - LibreTimes